Geometrically resilient digital watermarking scheme based on radial harmonic Fourier moments magnitude

It is still a challenging work to design a robust image watermarking scheme to resist geometrical transformations. In this paper, we analyze the geometric invariant properties of radial harmonic Fourier moments (RHFMs), and propose a new geometrically resilient digital image watermarking scheme based on RHFMs magnitudes. Firstly, the binary watermark image is encrypted by Arnold transform, and the RHFMs of the host image are computed. Then, the accurate and robust RHFMs are selected according to the moment magnitude distribution. Finally, the encrypted watermark is embedded by quantizing the magnitudes of the selected RHFMs, and the watermarked image is obtained by adding the compensation image to the original host image. Experimental results show that the proposed RHFMs based image watermarking scheme outperforms other moments based watermarking methods, and is robust to a wide range of attacks, e.g., median filtering, random noise addition, JPEG compression, rotation, and scaling, etc.